2001100100112 has 60 divisors (see below), whose sum is σ = 5793414813420. Its totient is φ = 644032214784.

The previous prime is 2001100100063. The next prime is 2001100100171. The reversal of 2001100100112 is 2110010011002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 356509303056 + 1644590797056 = 597084^2 + 1282416^2 .

It is a super-2 number, since 2×2001100100112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001100100094 and 2001100100103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239591143 + ... + 239599494.

It is an arithmetic number, because the mean of its divisors is an integer number (96556913557).

Almost surely, 2^{2001100100112} is an apocalyptic number.

It is an amenable number.

2001100100112 is an abundant number, since it is smaller than the sum of its proper divisors (3792314713308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001100100112 is a wasteful number, since it uses less digits than its factorization.

2001100100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479190680 (or 479190671 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001100100112 its reverse (2110010011002), we get a palindrome (4111110111114).

The spelling of 2001100100112 in words is "two trillion, one billion, one hundred million, one hundred thousand, one hundred twelve".